I work in the group chaired by Assad A. Oberai, with the aim to develop deep learning tools for Bayesian inference.
I worked in the group chaired by Beatrice Riviere, to develop high-order numerical solvers to simulate complex two-phase flows through realistic porous media.
I worked in the group chaired by Jan. S Hesthaven. My research involved the use of deep learning tools to enhance the performance existing numerical frameworks. Special focus was given to develop artificial networks capable of detecting and controlling spurious oscillations generated by high-order methods used to approximate discontinuous solutions.
The primary theme of my dissertation was the development and analysis of high-order entropy stable schemes for hyperbolic conservation laws. In particular, I developed TENSUM, which is a parallelised high-order entropy stable solver for compressible flows on unstructured grids. The code has also been used to perform uncertainty quantification for flows across standard airfoils.
Advisor: Praveen Chandrashekar
Host: Siddhartha Mishra
Harish Chandra Memorial Award for best Ph.D. thesis, 2017-2018